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Finding the Fourth Proportional to 9,314.46, 14,035.50 and 7,707.06

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Solution

The fourth proportional to 9,314.46, 14,035.50 and 7,707.06 is: 11,613.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.46 : 14,035.50 = 7,707.06 : x
  2. Step 2: Convert to fraction form
    9,314.46/14,035.50 = 7,707.06/x
  3. Step 3: Cross multiply
    9,314.46x = 14,035.50 × 7,707.06
  4. Step 4: Simplify right side
    9,314.46x = 108,172,440.63
  5. Step 5: Solve for x
    x = 108,172,440.63/9,314.46
  6. Step 6: Final answer
    x = 11,613.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.